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• Differential
equations play an important role in applied mathematics. They appear in
many facets in different fields, e.g. chemical reaction kinetics,
molecular dynamics, electronic circuits, population dynamics, finance.
However, very often finding closed solutions of differential equations
is either simply impossible, or very difficult and beyond nowadays
mathematical reach. Moreover, it turns out that known solutions
oftentimes are very hard to compute, even in the context of today's
abounding computer power. Therefore, the art of computing or
approximating solutions of differential equations, partial as well as
ordinary, linear or non-linear, is of particular importance in all
mathematical sciences.
• The
meeting aims at bringing together leading experts working in numerical
analysis of differential equations and related areas. It is composed of
five sessions. Each session of the workshop is organized around a
specific topic which has attracted a great deal of current research.
The background and current status of each field is introduced in a
plenary talk by a leading expert. The list of topics includes the
followings fields and plenary speakers:
• Geometric Numerical Integration
- Jesús Sanz-Serna (Valladolid)
• Highly Oscillatory Problems - Arieh
Iserles (Cambridge)
• Splitting Methods and Time Integration of
PDEs - Christian Lubich (Tübingen)
• Discrete Mechanics and Control Theory
- David Martín de Diego (ICMAT-CSIC)
• Algebraic Structures in Numerical
Integration - Hans Munthe-Kaas (Bergen)
•
Each
session includes several research talks, where recent progress in the
field is reported. In addition, discussion roundtables will take place
in the afternoons,
which are of specific importance, as they shall give researchers from
all subjects a platform to discuss common problems, current open
questions, as well as future perspectives of each subject.
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